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Universal Families of Rational Tropical Curves
  Published:2012-04-12
 Printed: Feb 2013
Canadian Journal of Mathematics
  • Georges Francois,
    Fachbereich Mathematik, Technische Universität Kaiserslautern, Postfach 3049, 67653 Kaiserslautern, Germany
  • Simon Hampe,
    Fachbereich Mathematik, Technische Universität Kaiserslautern, Postfach 3049, 67653 Kaiserslautern, Germany
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Abstract

We introduce the notion of families of $n$-marked smooth rational tropical curves over smooth tropical varieties and establish a one-to-one correspondence between (equivalence classes of) these families and morphisms from smooth tropical varieties into the moduli space of $n$-marked abstract rational tropical curves $\mathcal{M}_{n}$.
Keywords: tropical geometry, universal family, rational curves, moduli space tropical geometry, universal family, rational curves, moduli space
MSC Classifications: 14T05, 14D22 show english descriptions Tropical geometry [See also 12K10, 14M25, 14N10, 52B20]
Fine and coarse moduli spaces 14T05 - Tropical geometry [See also 12K10, 14M25, 14N10, 52B20]
14D22 - Fine and coarse moduli spaces
 
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